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Volumn 15, Issue 1, 2007, Pages 21-45

Regularity of solution maps of differential inclusions under state constraints

Author keywords

Differential inclusions; Pseudo Lipschitz dependence on initial conditions; State constraints

Indexed keywords


EID: 33847317392     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11228-006-0018-4     Document Type: Article
Times cited : (22)

References (19)
  • 1
    • 0030491161 scopus 로고    scopus 로고
    • Continuity of admissible trajectories for state constraints control problems
    • Arisawa, M., Lions, P.L.: Continuity of admissible trajectories for state constraints control problems. Discrete Contin. Dynam. Systems 2, 297-305 (1996)
    • (1996) Discrete Contin. Dynam. Systems , vol.2 , pp. 297-305
    • Arisawa, M.1    Lions, P.L.2
  • 6
    • 33750910341 scopus 로고    scopus 로고
    • Zero-sum state constrained differential games: Existence of value for Bolza problem
    • to appear
    • Bettiol, P., Cardaliaguet, P., Quincampoix, M.: Zero-sum state constrained differential games: Existence of value for Bolza problem. Int. J. Game Theory (to appear)
    • Int. J. Game Theory
    • Bettiol, P.1    Cardaliaguet, P.2    Quincampoix, M.3
  • 7
    • 0026254228 scopus 로고
    • Some characterizations of optimal trajectories in control theory
    • Cannarsa, P.M., Frankowska, H.: Some characterizations of optimal trajectories in control theory. SIAM J. Control Optim. 29, 1322-1347 (1991)
    • (1991) SIAM J. Control Optim , vol.29 , pp. 1322-1347
    • Cannarsa, P.M.1    Frankowska, H.2
  • 8
    • 84966227140 scopus 로고
    • Hamilton-Jacobi equations with state constraints
    • Capuzzo-Dolcetta, I., Lions, P.L.: Hamilton-Jacobi equations with state constraints. Trans. Amer. Math. Soc. 318, 643-687 (1990)
    • (1990) Trans. Amer. Math. Soc , vol.318 , pp. 643-687
    • Capuzzo-Dolcetta, I.1    Lions, P.L.2
  • 9
    • 0033692538 scopus 로고    scopus 로고
    • Invariant solutions of differential games and Hamilton-Jacobi equations for time-measurable Hamiltonians
    • Cardaliaguet, P., Plaskacz, S.: Invariant solutions of differential games and Hamilton-Jacobi equations for time-measurable Hamiltonians. SIAM J. Control Optim. 38, 1501-1520 (2000)
    • (2000) SIAM J. Control Optim , vol.38 , pp. 1501-1520
    • Cardaliaguet, P.1    Plaskacz, S.2
  • 10
    • 43949161376 scopus 로고
    • Shape analysis via oriented distance functions
    • Delfour, M.C., Zolesio, J.P.: Shape analysis via oriented distance functions. J. Funct. Anal. 123, 129-201 (1994)
    • (1994) J. Funct. Anal , vol.123 , pp. 129-201
    • Delfour, M.C.1    Zolesio, J.P.2
  • 11
    • 10244276990 scopus 로고    scopus 로고
    • Oriented distance function and its evolution equation for initial sets with thin boundary
    • Delfour, M.C., Zolesio, J.P.: Oriented distance function and its evolution equation for initial sets with thin boundary. SIAM J. Control Optim. 42, 2286-2304 (2004)
    • (2004) SIAM J. Control Optim , vol.42 , pp. 2286-2304
    • Delfour, M.C.1    Zolesio, J.P.2
  • 13
    • 0001391958 scopus 로고
    • Optimal trajectories associated to a solution of contingent Hamilton-Jacobi equations
    • Frankowska, H.: Optimal trajectories associated to a solution of contingent Hamilton-Jacobi equations. Appl. Math. Optim. 19, 291-311 (1989)
    • (1989) Appl. Math. Optim , vol.19 , pp. 291-311
    • Frankowska, H.1
  • 14
    • 0000311623 scopus 로고
    • Measurable viability theorems and the Hamilton-Jacobi-Bellman equation
    • Frankowska, H., Plaskacz, S., Rzezuchowski, T.: Measurable viability theorems and the Hamilton-Jacobi-Bellman equation. J. Differential Equations 116, 265-305 (1995)
    • (1995) J. Differential Equations , vol.116 , pp. 265-305
    • Frankowska, H.1    Plaskacz, S.2    Rzezuchowski, T.3
  • 16
    • 0034148320 scopus 로고    scopus 로고
    • Filippov's and Filippov-Wazewski's theorems on closed domains
    • Frankowska, H., Rampazzo, F.: Filippov's and Filippov-Wazewski's theorems on closed domains. J. Differential Equations 161, 449-478 (2000)
    • (2000) J. Differential Equations , vol.161 , pp. 449-478
    • Frankowska, H.1    Rampazzo, F.2
  • 17
    • 0000123026 scopus 로고
    • Approximation and regularity results on constrained viscosity solutions of Hamilton-Jacobi-Bellman equations
    • Loreti, P., Tessitore, M.E.: Approximation and regularity results on constrained viscosity solutions of Hamilton-Jacobi-Bellman equations. J. Math. Systems Estim. Control 4, 467-483 (1994)
    • (1994) J. Math. Systems Estim. Control , vol.4 , pp. 467-483
    • Loreti, P.1    Tessitore, M.E.2
  • 18
    • 0003346020 scopus 로고
    • Convex analysis
    • Princeton University Press, Princeton, New Jersey
    • Rockafellar, R.T.: Convex analysis. Princeton Mathematical Series, No. 28. Princeton University Press, Princeton, New Jersey (1970)
    • (1970) Princeton Mathematical Series , vol.28
    • Rockafellar, R.T.1
  • 19
    • 0022715502 scopus 로고
    • Optimal control problems with state-space constraints
    • and
    • Soner, H.M.: Optimal control problems with state-space constraints. SIAM J. Control Optim. 24, 552-562 and 1110-1122 (1986)
    • (1986) SIAM J. Control Optim , vol.24
    • Soner, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.